Question

In: Math

Write the following quadratic function in standard form and then sketch its graph. Clearly mark on...

Write the following quadratic function in standard form and then sketch its graph. Clearly mark on the graph the vertex and all intercepts.
f(x)=-2x^2+6x+15

Note: if you could include step by step explanations so I’ll be able to understand the process and learn this concept that would be great!!

Solutions

Expert Solution

Given quadratic equation is:

We can write it as:

  

  

  

So given equation is:

On comparing with :

Where (h,k) is vertex of given equation.

SO in given equation vertex of given equation is:

For x intercepts we can equate given equation to zero.

So we will get

So or

So x intercepts are or .

For y intercept we can write x = 0 in given equation

So y intercept is 15.


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